Cremona's table of elliptic curves

6120 = 2³ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	6120s	Isogeny class
Conductor	6120	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-80901504000 = -1 · 210 · 37 · 53 · 172	Discriminant
Eigenvalues	2- 3- 5+  2 -4  4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,717,11518]	[a1,a2,a3,a4,a6]
Generators	[11:144:1]	Generators of the group modulo torsion
j	54607676/108375	j-invariant
L	3.9215651151835	L(r)(E,1)/r!
Ω	0.74771908257699	Real period
R	1.311175950488	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12240j1 48960cq1 2040i1 30600v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120s1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	2	-4	4	+	-4	-4	10	0	2	-4	-10	0	2	-2	2	6	6	-8	4	-16	-14	-12

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Quadratic twists for elliptic curve 6120s1

-4	8	-3	5	17
12240j1	48960cq1	2040i1	30600v1	104040ct1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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